Question

If Thiyo traveled 420 miles at the same rate, how many hours did he drive?Enter your answer as a decimal into the box. h

Answer 1

Speed is expressed as

`\text{speed = }\frac{dis\tan ce\text{ covered}}{time\text{ taken}}`

Given that Thiyo traveled 420 miles at 56 mi/h, let t represent the number of hour he drove.

Thus,

`56\text{ mi/h = }\frac{420\text{ miles}}{t}`

Make t the subject of the formula.

`\begin{gathered} 56\text{ mi/h = }\frac{420\text{ miles}}{t} \\ \text{Multiply through by t} \\ t(56\text{ mi/h) = t(}\frac{420\text{ miles}}{t}) \\ 56t=420 \\ \text{divide both sides by the coefficient of t, which is 56.} \\ \text{thus, } \\ (56t)/(56)=(420)/(56) \\ \Rightarrow t=7.5\text{ hours} \end{gathered}`

Hence, Thiyo drives for 7.5 hours.